Stability and optimal harvesting
of a prey-predator model
with stage structure for predator
Applicationes Mathematicae, Tome 32 (2005) no. 3, pp. 279-291
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
The dynamics of a prey-predator system, where predator has two stages, a juvenile stage and a mature stage, is modelled by a system of three ordinary differential equations. Stability and permanence of the system are discussed. Furthermore, we consider the harvesting of prey species and obtain the maximum sustainable yield and the optimal harvesting policy.
Keywords:
dynamics prey predator system where predator has stages juvenile stage mature stage modelled system three ordinary differential equations stability permanence system discussed furthermore consider harvesting prey species obtain maximum sustainable yield optimal harvesting policy
Affiliations des auteurs :
Tapan Kumar Kar 1
@article{10_4064_am32_3_3,
author = {Tapan Kumar Kar},
title = {Stability and optimal harvesting
of a prey-predator model
with stage structure for predator},
journal = {Applicationes Mathematicae},
pages = {279--291},
year = {2005},
volume = {32},
number = {3},
doi = {10.4064/am32-3-3},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/am32-3-3/}
}
TY - JOUR AU - Tapan Kumar Kar TI - Stability and optimal harvesting of a prey-predator model with stage structure for predator JO - Applicationes Mathematicae PY - 2005 SP - 279 EP - 291 VL - 32 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4064/am32-3-3/ DO - 10.4064/am32-3-3 LA - en ID - 10_4064_am32_3_3 ER -
Tapan Kumar Kar. Stability and optimal harvesting of a prey-predator model with stage structure for predator. Applicationes Mathematicae, Tome 32 (2005) no. 3, pp. 279-291. doi: 10.4064/am32-3-3
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